College algebra 2nd ed

Cover......Page 1
Title Page......Page 2
Copyright Page......Page 3
About the Authors......Page 4
Table of Contents......Page 5
Key Features......Page 8
Supplement Package......Page 10
Our Commitment to MarketDevelopment and Accuracy......Page 15
Applications Index......Page 18
CHAPTER R Review of Prerequisites......Page 24
 Section R.1 Sets and the Real Number Line......Page 25
 Section R.2 Integer Exponents and Scientific Notation......Page 41
 Section R.3 Rational Exponents and Radicals......Page 50
 Section R.4 Polynomials and Multiplication of Radicals......Page 61
 Section R.5 Factoring......Page 70
 Section R.6 Rational Expressions and More Operations on Radicals......Page 82
 Algebra for Calculus......Page 95
 Key Concepts......Page 96
 Review Exercises......Page 98
 Test......Page 101
CHAPTER 1 Equations and Inequalities......Page 104
 Section 1.1 Linear Equations and Rational Equations......Page 105
 Section 1.2 Applications with Linear and Rational Equations......Page 117
 Section 1.3 Complex Numbers......Page 127
 Section 1.4 Quadratic Equations......Page 136
 Problem Recognition Exercises: Simplifying Expressions Versus Solving Equations......Page 148
 Section 1.5 Applications of Quadratic Equations......Page 149
 Section 1.6 More Equations and Applications......Page 156
 Section 1.7 Linear, Compound, and Absolute Value Inequalities......Page 167
 Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities......Page 179
 Equations and Inequalities for Calculus......Page 180
 Key Concepts......Page 181
 Review Exercises......Page 183
 Test......Page 186
 Cumulative Review Exercises......Page 187
CHAPTER 2 Functions and Relations......Page 188
 Section 2.1 The Rectangular Coordinate System and Graphing Utilities......Page 189
 Section 2.2 Circles......Page 200
 Section 2.3 Functions and Relations......Page 206
 Section 2.4 Linear Equations in Two Variables and Linear Functions......Page 220
 Section 2.5 Applications of Linear Equations and Modeling......Page 236
 Problem Recognition Exercises: Comparing Graphs of Equations......Page 251
 Section 2.6 Transformations of Graphs......Page 252
 Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions......Page 266
 Section 2.8 Algebra of Functions and Function Composition......Page 285
 Key Concepts......Page 298
 Review Exercises......Page 300
 Test......Page 305
 Cumulative Review Exercises......Page 306
CHAPTER 3 Polynomial and Rational Functions......Page 308
 Section 3.1 Quadratic Functions and Applications......Page 309
 Section 3.2 Introduction to Polynomial Functions......Page 323
 Section 3.3 Division of Polynomials and the Remainder and Factor Theorems......Page 339
 Section 3.4 Zeros of Polynomials......Page 352
 Section 3.5 Rational Functions......Page 368
 Problem Recognition Exercises: Polynomial and Rational Functions......Page 391
 Section 3.6 Polynomial and Rational Inequalities......Page 392
 Problem Recognition Exercises: Solving Equations and Inequalities......Page 405
 Section 3.7 Variation......Page 406
 Key Concepts......Page 414
 Review Exercises......Page 417
 Test......Page 420
 Cumulative Review Exercises......Page 422
CHAPTER 4 Exponential and Logarithmic Functions......Page 424
 Section 4.1 Inverse Functions......Page 425
 Section 4.2 Exponential Functions......Page 437
 Section 4.3 Logarithmic Functions......Page 450
 Problem Recognition Exercises: Analyzing Functions......Page 465
 Section 4.4 Properties of Logarithms......Page 466
 Section 4.5 Exponential and Logarithmic Equations and Applications......Page 475
 Section 4.6 Modeling with Exponential and Logarithmic Functions......Page 489
 Key Concepts......Page 505
 Review Exercises......Page 508
 Test......Page 510
 Cumulative Review Exercises......Page 512
CHAPTER 5 Systems of Equations and Inequalities......Page 514
 Section 5.1 Systems of Linear Equations in Two Variables and Applications......Page 515
 Section 5.2 Systems of Linear Equations in Three Variables and Applications......Page 529
 Section 5.3 Partial Fraction Decomposition......Page 540
 Section 5.4 Systems of Nonlinear Equations in Two Variables......Page 550
 Section 5.5 Inequalities and Systems of Inequalities in Two Variables......Page 559
 Section 5.6 Linear Programming......Page 570
 Key Concepts......Page 579
 Review Exercises......Page 581
 Test......Page 583
 Cumulative Review Exercises......Page 584
CHAPTER 6 Matrices and Determinants and Applications......Page 586
 Section 6.1 Solving Systems of Linear Equations Using Matrices......Page 587
 Section 6.2 Inconsistent Systems and Dependent Equations......Page 598
 Section 6.3 Operations on Matrices......Page 608
 Section 6.4 Inverse Matrices and Matrix Equations......Page 625
 Section 6.5 Determinants and Cramer's Rule......Page 635
 Key Concepts......Page 648
 Review Exercises......Page 650
 Test......Page 653
 Cumulative Review Exercises......Page 654
CHAPTER 7 Analytic Geometry......Page 656
 Section 7.1 The Ellipse......Page 657
 Section 7.2 The Hyperbola......Page 674
 Section 7.3 The Parabola......Page 690
 Problem Recognition Exercises: Comparing Equations of Conic Sections and the General Equation......Page 703
 Key Concepts......Page 705
 Review Exercises......Page 706
 Test......Page 708
 Cumulative Review Exercises......Page 710
CHAPTER 8 Sequences, Series, Induction, and Probability......Page 712
 Section 8.1 Sequences and Series......Page 713
 Section 8.2 Arithmetic Sequences and Series......Page 724
 Section 8.3 Geometric Sequences and Series......Page 735
 Section 8.4 Mathematical Induction......Page 748
 Section 8.5 The Binomial Theorem......Page 755
 Section 8.6 Principles of Counting......Page 761
 Section 8.7 Introduction to Probability......Page 773
 Key Concepts......Page 787
 Review Exercises......Page 790
 Test......Page 793
 Cumulative Review Exercises......Page 795
 Student Answer Appendix......Page 798
Photo Credits......Page 850
Subject Index......Page 852